@article{understandingscalinglawswithstatistical, title = {Understanding Scaling Laws with Statistical and Approximation Theory for Transformer Neural Networks on Intrinsically Low-dimensional Data}, author = {Alex Havrilla and Wenjing Liao}, year = {2024}, eprint = {2411.06646}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2411.06646v1}, }